Information on Result #1729448
Digital (142, 170, 223513)-net over F8, using net defined by OOA based on linear OOA(8170, 223513, F8, 33, 28) (dual of [(223513, 33), 7375759, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8170, 1117566, F8, 3, 28) (dual of [(1117566, 3), 3352528, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8170, 1117568, F8, 3, 28) (dual of [(1117568, 3), 3352534, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8170, 1117568, F8, 28) (dual of [1117568, 1117398, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(8170, 2097167, F8, 28) (dual of [2097167, 2096997, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(8169, 2097152, F8, 28) (dual of [2097152, 2096983, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8155, 2097152, F8, 26) (dual of [2097152, 2096997, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(81, 15, F8, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(8170, 2097167, F8, 28) (dual of [2097167, 2096997, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8170, 1117568, F8, 28) (dual of [1117568, 1117398, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(8170, 1117568, F8, 3, 28) (dual of [(1117568, 3), 3352534, 29]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.